The Phase Space Distributions and the Correspondence Principle

Date

Author

Metadata

Abstract

An attempt is made to obtain a correspondence between the classical mechanics and the Wigner-type
quantum mechanics by analyzing a particular solution to the quasiprobability operator equation. We
have applied this solution to yield ground state energies in the case of an equilibrium distribution
which is a limit ofa quantum distribution with the time coordinate tending to infinity. The presence of
an arbitrary parameter in our solution is now explicitly fixed by the ground state energy that must be
reflected in the solution to the generalized Fokker-Planck equation. An appropriate choice ofboundary
conditions dictated by the quantum constraints now guarantee a unique solution to the equation of
motion.